Finite-element analysis of photonic crystal cavities: Time and frequency domains

Journal of Lightwave Technology

Volumn 23, Issue 3, 2005, Pages 1514-1521

  Rodríguez Esquerre, Vitaly Félix ^a   Koshiba, Masanori ^a   Hernández Figueroa, Hugo E ^b  

^a HOKKAIDO UNIVERSITY   (Japan)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Cavity resonator; Finite element method (FEM); Isoparametric element; Photonic crystal (PC); Q factor; Time domain analysis

Indexed keywords

BOUNDARY CONDITIONS; CAVITY RESONATORS; COMPUTER SIMULATION; CRYSTALS; ELECTROMAGNETIC FIELDS; FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; NATURAL FREQUENCIES; TIME DOMAIN ANALYSIS;

FINITE DIFFERENCE TIME DOMAIN (FDTD) METHOD; ISOPARAMETRIC ELEMENT; PHOTONIC CRYSTAL (PC);

OPTICAL MATERIALS;

EID: 18144422442     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2005.843441     Document Type: Article

References (16)

1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light. Princeton, NJ: Princeton Univ. Press, 1995, ch. 7.
2. K. Sakoda, Optical Properties of Photonic Crystals. New York: Springer-Verlag, 2001, ch. 6.
3. "Photonic Crystal," IEEE J. Quantum Electron, vol. 38, pp. 724-963, Jul. 2002.
4. K. Sakoda, "Numerical study on localized defect modes in two-dimensional triangular photonic crystals," J. Appl. Phys., vol. 84, pp. 1210-1214, Aug. 1998.
5. J. K. Hwang, S. B. Hyun, H. Y. Ryu, and Y. H. Lee, "Resonant modes of two-dimensional photonic bandgap cavities determined by the finite-element method and by use of the anisotropic perfectly matched layer boundary condition," J. Opt. Soc. Amer. B, Opt. Phys., vol. 15, pp. 2316-2324, Aug. 1998.
6. J. Huh, J. K. Hwang, H. Y. Ryu, and Y. H. Lee, "Nondegenerate monopole mode of single defect two-dimensional triangular photonic band-gap cavity," J. Appl. Phys., vol. 92, pp. 654-659, Jul. 2002.
7. M. Marrone, V. F. Rodriguez-Esquerre, and H. E. Hernandez-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: The cell method," Opt. Express, vol. 10, pp. 1299-1304, Nov. 2002.
8. D.C. Dibben and R. Metaxas, "Frequency domain vs. time domain finite element methods for calculation of fields in multimode cavities," IEEE Trans. Magn., vol. 33, no. 2, pp. 1468-1471, Mar. 1997.
9. M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuit components," J. Lightw. Technol., vol. 18, no. 1, pp. 102-110, Jan. 2000.
10. V.F. Rodriguez-Esquerre and H. E. Hernández-Figueroa, "Novel time-domain step-by-step scheme for integrated optical applications," IEEE Photon. Technol. Lett., vol. 13, no. 4, pp. 311-313, Apr. 2001.
11. A. Cucinotta, S. Selleri, L. Vincetti, and M. Zooboli, "Impact of the cell geometry on the spectral properties of photonic crystal structures," Appl. Phys. B, Photophys. Laser Chem., vol. 73, pp. 595-600, Oct. 2001.
12. A. Niiyama, M. Koshiba, and Y. Tsuji, "An efficient scalar finite element formulation for nonlinear optical channel waveguides," J. Lightw. Technol., vol. 13, no. 9, pp. 1919-1925, Sep. 1995.
13. G. R. Cowper, "Gaussian quadrature formulas for triangles," Int. J. Numer. Methods Eng., vol. 7, pp. 405-408, 1973.
14. N. M. Newmark, "A method of computation for structural dynamics," J. Eng. Mechan. Divis., ASCE, vol. 85, pp. 67-94, July 1959.
15. B. N. Parlet, The Symmetric Eigenvalue Problem. Englewood Cliffs, NJ: Prentice-Hall, 1990.
16. M. R. Watts, S. G. Johnson, H. A. Haus, and J. D. Joannopoulos, "Electromagnetic cavity with arbitrary Q and small modal volume without a complete photonic bandgap," Opt. Lett., vol. 27, pp. 1785-1787, Oct. 2002.